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Finding the Fourth Proportional to 526.38, 726.40 and 293.50

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Solution

The fourth proportional to 526.38, 726.40 and 293.50 is: 405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.38 : 726.40 = 293.50 : x
  2. Step 2: Convert to fraction form
    526.38/726.40 = 293.50/x
  3. Step 3: Cross multiply
    526.38x = 726.40 × 293.50
  4. Step 4: Simplify right side
    526.38x = 213,198.40
  5. Step 5: Solve for x
    x = 213,198.40/526.38
  6. Step 6: Final answer
    x = 405.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.